The Classical Relativistic Quark Model in the Rest-Frame Wigner-Covariant Coulomb Gauge

Abstract

The system of N scalar particles with Grassmann-valued color charges plus the color SU(3) Yang-Mills field is reformulated on spacelike hypersurfaces. The Dirac observables are found and the physical invariant mass of the system in the Wigner-covariant rest-frame instant form of dynamics (covariant Coulomb gauge) is given. From the reduced Hamilton equations we extract the second order equations of motion both for the reduced transverse color field and the particles. Then, we study this relativistic scalar quark model, deduced from the classical QCD Lagrangian and with the color field present, in the N=2 (meson) case. A special form of the requirement of having only color singlets, suited for a field-independent quark model, produces a ``pseudoclassical asymptotic freedom" and a regularization of the quark self-energy.

81 pages, RevTeX

References in corpus (5)

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• On the Wavefunctional for Two Heavy Color Sources in Yang-Mills Theory
• Classical antiparticles
• Status of the Strong Coupling Constant
• Dirac's Observables for the SU(3)XSU(2)XU(1) Standard Model

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• The Chrono-geometrical Structure of Special and General Relativity: a Re-Visitation of Canonical Geometrodynamics
• Spinning Particles on Spacelike Hypersurfaces and their Rest-Frame Description
• Dirac Fields on Spacelike Hypersurfaces, Their Rest-Frame Description and Dirac Observables
• From Clock Synchronization to Dark Matter as a Relativistic Inertial Effect
• Dirac's Observables for the SU(3)XSU(2)XU(1) Standard Model
• Spacetime, General Covariance, Dirac-Bergmann Observables and Non-Inertial Frames